213719185680 has 640 divisors, whose sum is σ = 918277226496. Its totient is φ = 39669350400.

The previous prime is 213719185663. The next prime is 213719185681. The reversal of 213719185680 is 86581917312.

213719185680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213719185681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7433092 + ... + 7461788.

Almost surely, 2^213719185680 is an apocalyptic number.

213719185680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213719185680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459138613248).

213719185680 is an abundant number, since it is smaller than the sum of its proper divisors (704558040816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213719185680 is a wasteful number, since it uses less digits than its factorization.

213719185680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28775 (or 28769 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 213719185680 in words is "two hundred thirteen billion, seven hundred nineteen million, one hundred eighty-five thousand, six hundred eighty".